Five Properties of the Smarandache Double Factorial Function


In this paper some properties of the Smarandache double factorial function have been analyzed. In [1], [2], [3J and [4] the Smarandache double fuctoriaI Sd.f(n) function is defined as the smallest number such that Sdf{n)!! is divisible by n, where the double factorial by definition is given by [6]: m!! = lx3x5x. .. m, ifrn is odd; m!! = 2x4x6x. .. m, ifrn… (More)